Calculate charge on object suspended between capacitor plates

It would be greatly appreciated if someone could check over my work. It is very likely that I made mistakes. If I made any mistakes, could you please tell me where I went wrong? Thank you. I will use this problem to study for my next exam. I have also attached a figure that I created that goes with this problem. Thanks again.

As shown in the Figure, a 30mg object with a charge q is suspended with a light string in a uniform electric field between the plates of a charged capacitor. The capacitance of the capacitor is 1mF, the separation between the parallel plates is 4.0cm and the charge (Q) on the capacitor is 1.25C. Calculate the charge q on the 30 mg object, when the suspension thread holding the charged object is in static equilibrium at an angle of 10 degrees with respect to the vertical.